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Finding the Fourth Proportional to 803.76, 1,109.10 and 594.06

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Solution

The fourth proportional to 803.76, 1,109.10 and 594.06 is: 819.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.76 : 1,109.10 = 594.06 : x
  2. Step 2: Convert to fraction form
    803.76/1,109.10 = 594.06/x
  3. Step 3: Cross multiply
    803.76x = 1,109.10 × 594.06
  4. Step 4: Simplify right side
    803.76x = 658,871.95
  5. Step 5: Solve for x
    x = 658,871.95/803.76
  6. Step 6: Final answer
    x = 819.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.